4 + 5^6x = 8

(a) Find the exact solution of the exponential equation in terms of logarithms.
x =

(b) Use a calculator to find an approximation to the solution rounded to six decimal places.
x =

can any body help me out here please?

1 answer

4 + 5^6x = 8
I will assume you meant
4 + 5^(6x) = 8
5^(6x) = 4
log both sides and use rules of logs
6x log5 = log4
x = log4/(6log5)

b)
x = appr .143559